| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 7770.q4 |
7770r1 |
7770.q |
7770r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2560$ |
$0.171397$ |
$56578878719/54390000$ |
$0.85988$ |
$2.76388$ |
$[1, 1, 1, 80, 257]$ |
\(y^2+xy+y=x^3+x^2+80x+257\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 222.6.0.?, 444.24.0.?, $\ldots$ |
$[]$ |
| 23310.e4 |
23310h1 |
23310.e |
23310h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$0.625681658$ |
$1$ |
|
$11$ |
$20480$ |
$0.720703$ |
$56578878719/54390000$ |
$0.85988$ |
$3.11740$ |
$[1, -1, 0, 720, -6224]$ |
\(y^2+xy=x^3-x^2+720x-6224\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(20, 116)]$ |
| 38850.bn4 |
38850bj1 |
38850.bn |
38850bj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4440$ |
$48$ |
$0$ |
$2.504966827$ |
$1$ |
|
$3$ |
$61440$ |
$0.976116$ |
$56578878719/54390000$ |
$0.85988$ |
$3.25674$ |
$[1, 0, 1, 1999, 28148]$ |
\(y^2+xy+y=x^3+1999x+28148\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(23, 282)]$ |
| 54390.cs4 |
54390cp1 |
54390.cs |
54390cp |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$3.350832001$ |
$1$ |
|
$3$ |
$122880$ |
$1.144352$ |
$56578878719/54390000$ |
$0.85988$ |
$3.34140$ |
$[1, 0, 0, 3919, -76455]$ |
\(y^2+xy=x^3+3919x-76455\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.bb.1, 222.6.0.?, $\ldots$ |
$[(1026, 32415)]$ |
| 62160.cz4 |
62160db1 |
62160.cz |
62160db |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{16} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$0.864545$ |
$56578878719/54390000$ |
$0.85988$ |
$2.99676$ |
$[0, 1, 0, 1280, -13900]$ |
\(y^2=x^3+x^2+1280x-13900\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 222.6.0.?, 444.24.0.?, $\ldots$ |
$[]$ |
| 116550.fe4 |
116550ep1 |
116550.fe |
116550ep |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.525423$ |
$56578878719/54390000$ |
$0.85988$ |
$3.51508$ |
$[1, -1, 1, 17995, -760003]$ |
\(y^2+xy+y=x^3-x^2+17995x-760003\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 163170.cq4 |
163170dm1 |
163170.cq |
163170dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1.411827346$ |
$1$ |
|
$7$ |
$983040$ |
$1.693659$ |
$56578878719/54390000$ |
$0.85988$ |
$3.58474$ |
$[1, -1, 0, 35271, 2064285]$ |
\(y^2+xy=x^3-x^2+35271x+2064285\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 84.12.0.?, 222.6.0.?, $\ldots$ |
$[(9, 1539)]$ |
| 186480.bs4 |
186480bq1 |
186480.bs |
186480bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1.908504284$ |
$1$ |
|
$5$ |
$491520$ |
$1.413851$ |
$56578878719/54390000$ |
$0.85988$ |
$3.26863$ |
$[0, 0, 0, 11517, 386818]$ |
\(y^2=x^3+11517x+386818\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(33, 896)]$ |
| 248640.bf4 |
248640bf1 |
248640.bf |
248640bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{22} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$4.188170784$ |
$1$ |
|
$1$ |
$491520$ |
$1.211119$ |
$56578878719/54390000$ |
$0.85988$ |
$2.99712$ |
$[0, -1, 0, 5119, -116319]$ |
\(y^2=x^3-x^2+5119x-116319\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 222.6.0.?, $\ldots$ |
$[(709/2, 20125/2)]$ |
| 248640.fc4 |
248640fc1 |
248640.fc |
248640fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{22} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.211119$ |
$56578878719/54390000$ |
$0.85988$ |
$2.99712$ |
$[0, 1, 0, 5119, 116319]$ |
\(y^2=x^3+x^2+5119x+116319\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 222.6.0.?, $\ldots$ |
$[]$ |
| 271950.bh4 |
271950bh1 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.949072$ |
$56578878719/54390000$ |
$0.85988$ |
$3.68334$ |
$[1, 1, 0, 97975, -9556875]$ |
\(y^2+xy=x^3+x^2+97975x-9556875\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.4, 140.12.0.?, $\ldots$ |
$[]$ |
| 287490.b4 |
287490b1 |
287490.b |
287490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$2.600625333$ |
$1$ |
|
$3$ |
$3502080$ |
$1.976856$ |
$56578878719/54390000$ |
$0.85988$ |
$3.69358$ |
$[1, 1, 0, 109492, 11384448]$ |
\(y^2+xy=x^3+x^2+109492x+11384448\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(2272, 108384)]$ |
| 310800.bd4 |
310800bd1 |
310800.bd |
310800bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{16} \cdot 3 \cdot 5^{10} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.669264$ |
$56578878719/54390000$ |
$0.85988$ |
$3.37895$ |
$[0, -1, 0, 31992, -1801488]$ |
\(y^2=x^3-x^2+31992x-1801488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[]$ |
| 435120.y4 |
435120y1 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{16} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.837500$ |
$56578878719/54390000$ |
$0.85988$ |
$3.44688$ |
$[0, -1, 0, 62704, 4893120]$ |
\(y^2=x^3-x^2+62704x+4893120\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, 222.6.0.?, $\ldots$ |
$[]$ |
